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INITIAL SOFT L-FUZZY PREPROXIMITIES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2016, v.23 no.2, pp.119-130
https://doi.org/10.7468/jksmeb.2016.23.2.119
KIM, YOUNG SUN
KIM, YONG CHAN
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Abstract

In this paper, we introduce the notions of soft L-fuzzy preproximities in complete residuated lattices. We prove the existence of initial soft L-fuzzy preproximities. From this fact, we define subspaces and product spaces for soft L-fuzzy preproximity spaces. Moreover, we give their examples.

keywords
complete residuated lattices, (initial) soft L-preproximities, fuzzy proximity soft maps

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics